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Year 6

Using patterns in counting sequences

I can use patterns in counting sequences.

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New
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Year 6

Using patterns in counting sequences

I can use patterns in counting sequences.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Counting patterns and known facts support calculation with millions.
  2. Counting patterns can be represented as addition and subtraction equations.
  3. Missing values can be calculated using addition and subtraction.

Common misconception

Children may struggle to identify or explain the pattern or to identify the number of steps from the first given number to the last instead just giving the number of missing values.

If children struggle to identify the pattern ask them to start by identifying the part of the number that is changing. Model the 'steps' rather than the missing parts to support children to see this.

Keywords

  • Sequence - A sequence is a succession of objects, diagrams or values usually formed according to a rule.

  • Term - Each number in a sequence is called a term. Each term has a position - a location in the sequence.

Children need to be confident with the language of unitising before this lesson so that they can tackle the new concepts. Consider how to scaffold this if children are less confident.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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Starter quiz

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6 Questions

Q1.
If we count up in 1,000s, what number would come next after 9,000?
Correct Answer: 10,000, 10000
Q2.
What is the missing number in this counting pattern? 20,000, 40,000, , 80,000, 100,000
Correct Answer: 60,000, 60000
Q3.
If we count back in 100s, what number would we say after 1,000?
Correct Answer: 900
Q4.
What is the missing number in this counting pattern? 35,000, 30,000, , 20,000
Correct Answer: 25,000, 25000
Q5.
Match the equations to their sum.
Correct Answer:800,000 + 1,000,000 =,1,800,000

1,800,000

Correct Answer:800,000 + 100,000 =,900,000

900,000

Correct Answer:800,000 + 10,000 =,810,000

810,000

Correct Answer:800,000 + 1,000 =,801,000

801,000

Correct Answer:8,000,000 + 1,000,000 =,9,000,000

9,000,000

Q6.
Match the subtraction equation to its difference.
Correct Answer:1,600,000 − 400,000 =,1,200,000

1,200,000

Correct Answer:1,600,000 − 500,000 =,1,100,000

1,100,000

Correct Answer:1,600,000 − 600,000 =,1,000,000

1,000,000

Correct Answer:1,600,000 − 700,000 =,900,000

900,000

Correct Answer:1,600,000 − 800,000 =,800,000

800,000

Exit quiz

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6 Questions

Q1.
Look at this sequence of numbers. What number will come next? 287,700 288,700 289,700
Correct Answer: 290,700, 290700
Q2.
Look at this sequence of numbers. What is the next term in the sequence? 982,300 981,300 980,300
Correct Answer: 979,300, 979300
Q3.
Aisha counts on in 100,000s from 1,409,320 What number will she say next?
1,410,320
1,419,320
Correct answer: 1,509,320
1,519,320
2,409,320
Q4.
Look at this sequence of numbers, which are increasing by the same amount each step. What must each step be worth? 0, ___, ___, ___, 120,000
20,000
Correct answer: 30,000
40,000
50,000
60,000
Q5.
Look at this sequence of numbers, which are increasing by the same amount each step. What must each step be worth? 120,000, ___, ___, ___, 360,000
20,000
30,000
40,000
50,000
Correct answer: 60,000
Q6.
Look at this sequence of numbers, which are increasing by the same amount each step. What would the second term be? 2,400,000, ___, ___, 3,000,000
Correct Answer: 2,600,000, 2600000